FRM Fission Barrier Analytical Sketch

[PaulDirac]

I'm trying to work out an analytical approach to plotting fission barriers of heavy atoms as a function of angular momentum. I've visited some articles but I have found no way of calculating it. Has anyone any ideas?

 

[AndyW]

There are several approaches that can be used to plot fission barriers of heavy atoms as a function of angular momentum. One possible method is to use the Bohr-Wheeler formula, which relates the fission barrier height to the moment of inertia and angular momentum of the nucleus. This formula can be derived from the liquid drop model and has been shown to accurately predict fission barrier heights for a wide range of nuclei.

Another approach is to use the Hartree-Fock-Bogoliubov (HFB) method, which is a theoretical framework for calculating the energy of a nucleus based on its nuclear density. This method has been successful in predicting fission barrier heights for heavy nuclei, including those with high angular momentum.

In addition, there are various computer codes available that can perform calculations of fission barrier heights as a function of angular momentum for specific nuclei. These codes use different theoretical models and approximations, so it may be helpful to consult multiple sources to compare results.

It is also important to note that fission barrier heights can vary significantly depending on the specific nucleus and its properties, so it may be necessary to consider different isotopes or nuclear configurations in order to get a complete understanding of the behavior of fission barriers as a function of angular momentum.

Overall, the key to accurately plotting fission barriers as a function of angular momentum is to use a combination of theoretical models, computer codes, and experimental data to ensure the most comprehensive and accurate results.